-9/5p+25/6p=1207/105

Solution for -9/5p+25/6p=1207/105 equation:

-9/5p+25/6p=1207/105

We move all terms to the left:

-9/5p+25/6p-(1207/105)=0


Domain of the equation: 5p!=0

p!=0/5

p!=0

p∈R



Domain of the equation: 6p!=0

p!=0/6

p!=0

p∈R


We add all the numbers together, and all the variables

-9/5p+25/6p-(+1207/105)=0

We get rid of parentheses

-9/5p+25/6p-1207/105=0

We calculate fractions


(-217260p^2)/3150p^2+(-5670p)/3150p^2+13125p/3150p^2=0

We multiply all the terms by the denominator


(-217260p^2)+(-5670p)+13125p=0

We add all the numbers together, and all the variables

(-217260p^2)+13125p+(-5670p)=0

We get rid of parentheses

-217260p^2+13125p-5670p=0

We add all the numbers together, and all the variables

-217260p^2+7455p=0

a = -217260; b = 7455; c = 0;
Δ = b2-4ac
Δ = 74552-4·(-217260)·0
Δ = 55577025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{55577025}=7455$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7455)-7455}{2*-217260}=\frac{-14910}{-434520}
=7/204
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7455)+7455}{2*-217260}=\frac{0}{-434520}
=0
$